7. Find the linear approximation of f(x,y)=-x’ +2y’ at (3,-1) and use this approximation to estimate...
Q5. [8pnts] Use Taylor's formula to find a quadratic approximation of the function f (x, 3) e-2y 1+22-y HE2-7 at the origin. Estimate the error in the approximation if ㈣く.1 and lyl < .1. Q5. [8pnts] Use Taylor's formula to find a quadratic approximation of the function f (x, 3) e-2y 1+22-y HE2-7 at the origin. Estimate the error in the approximation if ㈣く.1 and lyl
(1 point) Find the linearization of the function f(x,y) = 72 - 4x² – 2y at the point (3, 4). L(x,y) Use the linear approximation to estimate the value of f(2.9, 4.1) f(2.9, 4.1)
7. Find the linear approximation of the function f(x,y) = ery at (1,0) and use it to approximate f(0.9.0.1). (6 Pts)
a. Find the linear approximation for the following function at the given point. b. Use part (a) to estimate the given function value. f(x,y) = 3x - 2y + 8xy; (3,5); estimate f(2.9,5.02) a. L(x,y)= b. L(2.9,5.02) = (Type an integer or a decimal.)
Q5. [8pnts] Use Taylor's formula to find a quadratic approximation of the function f(z, y) at the origin. Estimate the error in the approximation if |x| < .1 and |y| < .1 e-2y 1+n2 Q5. [8pnts] Use Taylor's formula to find a quadratic approximation of the function f(z, y) at the origin. Estimate the error in the approximation if |x|
Let f(x,y)=x2y2+1.f(x,y)=x2y2+1. Use the Linear Approximation at an appropriate point (a,b)(a,b) to estimate f(5.02,1.91).f(5.02,1.91). (Use decimal notation. Give your answer to two decimal places.) f(5.02,1.91)≈ Let f(x, y) = . Use the Linear Approximation at an appropriate point (a, b) to estimate f(5.02, 1.91). (Use decimal notation. Give your answer to two decimal places.) f(5.02, 1.91) - 4.59
Find the linear approximation to the function f (,y) = 34+ 3xy at the point (2,y) = (3,-1). L 2,y) = (write the appropriate function of u and y). Use this linear approximation to estimate f (3.03, -1.02) Number (the numerical answer must be precise up to +0.001).
2. Suppose the linear approximation of a differentiable function f(x, y, z) at the point (1,2,3) is given by L(x, y, z) = 17+ 6(x – 1) – 4(y – 2) + 5(2 – 3). Suppose furthermore that x, y and z are functions of (s, t), with (x(0,0), y(0,0), z(0,0)) = (1, 2, 3), and the differentials computed at (s, t) = (0,0) are given by dx = 7ds + 10dt, dy = 4ds – 3dt, dz = 2ds...
I need help in this please. Use the linear approximation to f(x, y) 4x(5 + y) at (9, 6) to estimate 4 9.01 (5+5.99). (Round your answer to five decimal places.) 3.27931 Find the percent error. (Round your answer to five decimal places.) % eBook Use the linear approximation to f(x, y) 4x(5 + y) at (9, 6) to estimate 4 9.01 (5+5.99). (Round your answer to five decimal places.) 3.27931 Find the percent error. (Round your answer to five...
Let f(x, y, z) = yln(zx) + ztan(xy). Find the linear approximation to f at the point (1,0,1). Use this linear approximation to approximate s(5,55 *). Show all of your work to obtain the linear approximation.